Consider a drug testing company that provides a test for marijuana usage. among 300 tested subjects, results from 30 subjects were wrong (either a false positive or a false negative). use a 0.01 significance level to test the claim that less than 10 percent of the test results are wrong.

static value come under the rejection value because it is less than critical value

Step-by-step explanation:

Given data

test = 300

wrong test = 30

significance level = 0.01

claim for wrong  = 10 %

to find out

test the claim that less than 10 percent of the test results are wrong

solution

we take test claim null hypo thesis  = 10 % = 0.10

and and alternate hypo thesis < 10% i.e. <0.10

and we know proportion of sample is = result/ test

sample proportion = 30/300 = 0.10

so the statistics of this test will  be = sample proportion - hypothesis /

so statistics of this test  = 0.10 - 0.10 /

so statistics of this test  =  0

and α = tail area critical value for  Z (0.01)  = 2.33

so here static value come under the rejection value because it is less than critical value

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